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Overlapping Triangles Proofs

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Name the side or angle that is overlapping.

a)

UX

b)

UV

c)

VW

d)

XW

2.

What is the "reason" for step 4 of the proof?

a)

proof

b)

AAS
≅ Thrm

c)

ASA
≅ Thrm

d)

SAS
≅ Thrm

3.

Can the triangles be proven congruent?  If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

4.

Why are these 2 triangles congruent according to your proof?

a)

ASA

b)

SAS

c)

SSS

d)

Cannot be determined

5.

What additional information is required for the 2 triangles to be congruent by SAS?

a)

A

b)

B

c)

C

d)

D

6.

Identify the  missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

7.

What is the "statement" for step 3 of the proof?

a)

AD=DA

b)

AD=AD

c)

HD=ND

d)

HD=DN

8.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

9.

What triangle congruence criteria is shown in the given diagram?

a)

AAS

b)

ASA

c)

SSA

d)

SAS

10.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent